57000660 has 192 divisors, whose sum is σ = 182891520. Its totient is φ = 13189120.

The previous prime is 57000641. The next prime is 57000679. The reversal of 57000660 is 6600075.

57000660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57000641) and next prime (57000679).

It is a self number, because there is not a number n which added to its sum of digits gives 57000660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1212757 + ... + 1212803.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^57000660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

57000660 is an abundant number, since it is smaller than the sum of its proper divisors (125890860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57000660 is a wasteful number, since it uses less digits than its factorization.

57000660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 57000660 is about 7549.8781447120. The cubic root of 57000660 is about 384.8515985083.

The spelling of 57000660 in words is "fifty-seven million, six hundred sixty", and thus it is an aban number.